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The paper offers a unified approach to the study of three locally adaptive estimation methods in the context of univariate time series from both theoretical and empirical points of view. A general procedure for the computation of critical…

Statistics Theory · Mathematics 2008-12-03 Mstislav Elagin

Precise information about the temporal mode of optical states is crucial for optimizing their interaction efficiency between themselves and/or with matter in various quantum communication devices. Here we propose and experimentally…

Quantum Physics · Physics 2015-06-09 Zhongzhong Qin , Adarsh S. Prasad , Travis Brannan , Andrew MacRae , A. Lezama , A. I. Lvovsky

We provide a method that enables the simple calculation of the maximal correlation coefficient of a bivariate distribution, under suitable conditions. In particular, the method readily applies to known results on order statistics and…

Methodology · Statistics 2016-11-18 Nickos Papadatos , Tatiana Xifara

We present a general approach for studying autoregressive categorical time series models with dependence of infinite order and defined conditional on an exogenous covariate process. To this end, we adapt a coupling approach, developed in…

Statistics Theory · Mathematics 2019-08-01 Lionel Truquet

The autonomous vehicle motion prediction literature is reviewed. Motion prediction is the most challenging task in autonomous vehicles and self-drive cars. These challenges have been discussed. Later on, the state-of-theart has reviewed…

Robotics · Computer Science 2020-11-10 Shahrokh Paravarzar , Belqes Mohammad

Estimating the unknown causal dependencies among graph-connected time series plays an important role in many applications, such as sensor network analysis, signal processing over cyber-physical systems, and finance engineering. Inference of…

Signal Processing · Electrical Eng. & Systems 2021-04-02 Rohan Money , Joshin Krishnan , Baltasar Beferull-Lozano

The integration of renewable resources has increased in power generation as a means to reduce the fossil fuel usage and mitigate its adverse effects on the environment. However, renewables like solar energy are stochastic in nature due to…

The Milestoning method has achieved great success in the calculation of equilibrium kinetic properties such as rate constants from molecular dynamics simulations. The goal of this work is to advance Milestoning into the realm of…

Statistical Mechanics · Physics 2015-11-03 Gianmarc Grazioli , Ioan Andricioaei

We begin with an interpretation of the L1-distance between two power spectral densities and then, following an analogous rationale, we develop a natural metric for quantifying distance between respective covariance matrices.

Optimization and Control · Mathematics 2007-06-13 Tryphon T. Georgiou

We propose an approximation algorithm for efficient correlation search in time series data. In our method, we use Fourier transform and neural network to embed time series into a low-dimensional Euclidean space. The given space is learned…

Machine Learning · Computer Science 2018-05-16 Han Qiu , Hoang Thanh Lam , Francesco Fusco , Mathieu Sinn

The space time autoregressive model has been widely applied in science, in areas such as economics, public finance, political science, agricultural economics, environmental studies and transportation analyses. The classical space time…

Applications · Statistics 2019-05-14 Wenqian Wang , Beth Andrews

I present a frequentist method for quantifying uncertainty when correcting correlations for attenuation due to measurement error. The method is conservative but has far better coverage properties than the methods currently used when sample…

Methodology · Statistics 2019-11-06 Jonas Moss

The time precision achievable using standard analog methods is well known. Several expressions for timing methods using digitized signals have been recently proposed in workshops, conferences or training courses. Most of them are only…

Instrumentation and Detectors · Physics 2016-06-20 Eric Delagnes

Time-to-Contact (TTC) estimation is a critical task for assessing collision risk and is widely used in various driver assistance and autonomous driving systems. The past few decades have witnessed development of related theories and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Yuheng Shi , Zehao Huang , Yan Yan , Naiyan Wang , Xiaojie Guo

Revisionist integral deferred correction (RIDC) methods are a family of parallel--in--time methods to solve systems of initial values problems. The approach is able to bootstrap lower order time integrators to provide high order…

Mathematical Software · Computer Science 2017-01-09 Benjamin Ong , Ronald Haynes , Kyle Ladd

The production system (multidimensional object) is considered as a dynamic system with discrete time. Formalized: space (state of the object, control actions, goals, observed values, analytical estimates). Analytical estimates of the state…

Optimization and Control · Mathematics 2024-12-17 Sergei Masaev

In this paper, we propose Self-Contrastive Decorrelation (SCD), a self-supervised approach. Given an input sentence, it optimizes a joint self-contrastive and decorrelation objective. Learning a representation is facilitated by leveraging…

Computation and Language · Computer Science 2022-03-16 Tassilo Klein , Moin Nabi

Bootstrap is a widely used technique that allows estimating the properties of a given estimator, such as its bias and standard error. In this paper, we evaluate and compare five bootstrap-based methods for making confidence intervals: two…

Continuous-time trajectory estimation is an attractive alternative to discrete-time batch estimation due to the ability to incorporate high-frequency measurements from asynchronous sensors while keeping the number of optimization parameters…

Robotics · Computer Science 2024-02-02 Jacob Johnson , Joshua Mangelson , Timothy Barfoot , Randal Beard

We revisit two well-studied scheduling problems in the unrelated machines setting where each job can have a different processing time on each machine. For minimizing total weighted completion time we give a 1.45-approximation, which…

Data Structures and Algorithms · Computer Science 2022-11-21 Sungjin Im , Shi Li
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